The two dishes prepared by Common Bond will be designated as A and B. The costs of ingredients are $3 for dish A and $2 for dish B. There are up to 7 kitchen-hour available per day, and there are 400 eggs in the fridge for the day.

The preparation time is 11 minutes for dish A and 10 minutes for dish B.

To prepare dish A, just one egg is needed, and to make dish B, 3 eggs are needed.

The daily price-response functions for these two dishes are:

dA(pA) = 280 - 15 pA

dB(pB) = 210 - 12 pB

a. The restaurant's daily optimal total contribution is: (Round your final answer to 2 decimal places.)

b. The optimal selling price for dish A is: Round your final answer to 2 decimal places.)

c. The optimal selling price for dish B is: (Round your final answer to 2 decimal places.)

d. The demand at the optimal price for dish A is: (Round your answer to the nearest integer)

e. The demand at the optimal price for dish B is: (Round your answer to the nearest integer)